- 期刊
EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
並列摘要
In this paper, using a simple and classical application of the Leray-Schauder degree theory, we study the existence of solutions of the following boundary value problem for functional differential equations x＂(t)+f(t,x_t,x'(t))=0, t ∈ [0,T] x_0+αx'(0)=h x(T)+βx'(T)=η where f ∈ C([0,T]×C_r×ℝ^n,ℝ^n), h ∈ C_r, η∈ℝ^n and α, β, are real constants.
延伸閱讀
- Ahmad, B., & Nieto, J. J. (2009). Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations. Abstract and Applied Analysis, 2009(), 586-594. https://doi.org/10.1155/2009/494720
- Shahed, M. E. (2007). Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation. Abstract and Applied Analysis, 2007(), 115-122. https://doi.org/10.1155/2007/10368
- TSAMATOS, P. C., & NTOUYAS, S. K. (1996). SOME RESULTS ON BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS. International Journal of Mathematics and Mathematical Sciences, 1996(), 335-342. https://doi.org/10.1155/S0161171296000476
- Zhong, W. Y. (2010). Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations. Abstract and Applied Analysis, (2010), 1244-1258. https://doi.org/10.1155/2010/601492
- He, C. Y., Liao, Y. Z., & Li, Y. K. (2013). Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations. Journal of Applied Mathematics, 2013(), 885-895-297. https://doi.org/10.1155/2013/401740